Holder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

被引：7

作者：

Damanik, David ^{[1
]}

Gorodetski, Anton ^{[2
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77005 USA

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 323卷 / 02期

基金：

美国国家科学基金会;

关键词：

UNIFORM SPECTRAL PROPERTIES; DIMENSIONAL QUASI-CRYSTALS; SCHRODINGER-OPERATORS; UPPER-BOUNDS; LOCALIZATION; DISCRETE; DYNAMICS; MAP;

D O I：

10.1007/s00220-013-1753-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain the asymptotics of the optimal global Holder exponent of the integrated density of states of the Fibonacci Hamiltonian for large and small couplings.

引用

页码：497 / 515

页数：19

共 50 条

[1] Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian
David Damanik
Anton Gorodetski
Communications in Mathematical Physics, 2013, 323 : 497 - 515
[2] Optimality of log Holder continuity of the integrated density of states
Krueger, Helge
Gan, Zheng
MATHEMATISCHE NACHRICHTEN, 2011, 284 (14-15) : 1919 - 1923
[3] LOG HOLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR STOCHASTIC JACOBI MATRICES
CRAIG, W
SIMON, B
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 90 (02) : 207 - 218
[4] Holder continuity of the Integrated Density of States for matrix-valued Anderson models
Boumaza, Hakim
REVIEWS IN MATHEMATICAL PHYSICS, 2008, 20 (07) : 873 - 900
[5] Holder Continuity of the Integrated Density of States in the One-Dimensional Anderson Model
Hart, Eric
Virag, Balint
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017, 355 (03) : 839 - 863
[6] Holder continuity of the integrated density of states for quasi-periodic Jacobi operators
Tao, Kai
Voda, Mircea
JOURNAL OF SPECTRAL THEORY, 2017, 7 (02) : 361 - 386
[7] Holder continuity of the integrated density of states for some random operators at all energies
Combes, JM
Hislop, PD
Klopp, F
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2003, 2003 (04) : 179 - 209
[8] THE DENSITY OF STATES MEASURE OF THE WEAKLY COUPLED FIBONACCI HAMILTONIAN
Damanik, David
Gorodetski, Anton
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2012, 22 (04) : 976 - 989
[9] The Density of States Measure of the Weakly Coupled Fibonacci Hamiltonian
David Damanik
Anton Gorodetski
Geometric and Functional Analysis, 2012, 22 : 976 - 989
[10] SHARP HOLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR EXTENDED HARPER'S MODEL WITH A LIOUVILLE FREQUENCY
Jian, Wenwen
Shi, Yunfeng
ACTA MATHEMATICA SCIENTIA, 2019, 39 (05) : 1240 - 1254

← 1 2 3 4 5 →